{
  "id": "math/0608217",
  "version": "v1",
  "published": "2006-08-09T11:38:35.000Z",
  "updated": "2006-08-09T11:38:35.000Z",
  "title": "A note on percolation in cocycle measures",
  "authors": [
    "Ronald Meester"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/074921706000000059 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "IMS Lecture Notes--Monograph Series 2006, Vol. 48, 37-46",
  "doi": "10.1214/074921706000000059",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We describe infinite clusters which arise in nearest-neighbour percolation for so-called cocycle measures on the square lattice. These measures arise naturally in the study of random transformations. We show that infinite clusters have a very specific form and direction. In concrete situations, this leads to a quick decision whether or not a certain cocycle measure percolates. We illustrate this with two examples which are interesting in their own right.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-09T11:38:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B20"
    ],
    "keywords": [
      "infinite clusters",
      "cocycle measure percolates",
      "square lattice",
      "measures arise",
      "specific form"
    ],
    "tags": [
      "monograph",
      "journal article",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8217M"
    }
  }
}